Finding the Fourth Proportional to 10,491.31, 14,478.11 and 5,775.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.31 : 14,478.11 = 5,775.76 : x
2. Step 2: Convert to fraction form
   10,491.31/14,478.11 = 5,775.76/x
3. Step 3: Cross multiply
   10,491.31x = 14,478.11 × 5,775.76
4. Step 4: Simplify right side
   10,491.31x = 83,622,088.61
5. Step 5: Solve for x
   x = 83,622,088.61/10,491.31
6. Step 6: Final answer
   x = 7,970.61